872414772 has 192 divisors, whose sum is σ = 2368880640. Its totient is φ = 248371200.

The previous prime is 872414761. The next prime is 872414797. The reversal of 872414772 is 277414278.

It is a super-2 number, since 2×872414772² = 1522215068807623968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12287497 + ... + 12287567.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^872414772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872414772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184440320).

872414772 is an abundant number, since it is smaller than the sum of its proper divisors (1496465868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872414772 is a wasteful number, since it uses less digits than its factorization.

872414772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its digits is 175616, while the sum is 42.

The square root of 872414772 is about 29536.6682616709. The cubic root of 872414772 is about 955.5226882051.

The spelling of 872414772 in words is "eight hundred seventy-two million, four hundred fourteen thousand, seven hundred seventy-two".